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Physical review. B./Physical review. B

Reduction of the symmetry of a spin chain by external electric field and strain: Quantum effects

Andrei A. Zvyagin

Published Apr 8, 2022• 3 citations
Publisher

Abstract

Quantum spin-1/2 system, in which spin, electric, and elastic subsystems are coupled, is studied analytically. We have shown that the external magnetic and electric field and strain, which reduce the symmetry, can affect many observable characteristics of the system. The analysis reveals how quantum critical values of the governing parameters can manifest themselves in the temperature behavior of those observables. Predicted effects can be useful for application in many fields of microelectronics.

DOI
10.1103/physrevb.105.134409

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Quantum spin-1/2 system, in which spin, electric, and elastic subsystems are coupled, is studied analytically. We have shown that the external magnetic and electric field and strain, which reduce the symmetry, can affect many observable characteristics of the system. The analysis reveals how quantum critical values of the governing parameters can manifest themselves in the temperature behavior of those observables. Predicted effects can be useful for application in many fields of microelectronics.
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The entanglement at zero-temperature is studied in a two-qubit XZ spin-1/2 chain model in an external magnetic field which is applied in the z direction. We have obtained an analytical relation for the effect of the external magnetic field on the concurrence. It is shown that the ground state of the system depends on the strength of exchange coupling. We have shown that the analytical relation of the concurrence is independent of Jz. It is shown that for Jz >0 the concurrence is depended on the critical value of the external magnetic field and it is changed at the critical external magnetic field. Also we have shown that for h hc, the concurrence decreases by increasing the external magnetic field. For Jz <0, the concurrence decreases by increasing the external magnetic field.
We consider the spin-1/2 chain material. It was predicted earlier that the intersite spin nematic order can be realized due to the spin-elastic coupling in such a system. Here we show that intersite spin nematic ordered states can be studied using magnetoelastic and magnetoelectric experiments. Intersite spin nematic phases and phase transitions in spin chain materials can be observed in relative changes of the velocity of sound (related to the changes of the elastic modulus of the crystal), the magnetostriction, and, for noncenter-symmetric systems, the electric permittivity as functions of the temperature and the external magnetic field, since those relative changes are proportional to the spin quadrupole (spin nematic) susceptibility of the system.
Spin-1 chain material is considered. Recently, it was predicted that the spin nematic ordered phase can be realized due to the spin-elastic coupling. In this study we show that the appearance of the spin nematic ordering and phase transitions to such ordered states can be studied using magneto-acoustic experiments. One can observe such phases and phase transitions considering relative changes of the velocity of sound (related to the changes of the elastic modulus of the crystal) as a function of temperature and the external magnetic field. It is shown that those relative changes are proportional to the spin quadrupole susceptibility of the system. The results are obtained using the exact Bethe ansatz solution and Quantum Monte Carlo simulations for several typical values of the biquadratic spin-spin exchange interaction and for various values of the spin-elastic coupling and elastic modules.